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  • 1
    Online Resource
    Online Resource
    The Banach-Tarski paradox / (2016)
    New York :Cambridge University Press,
    Details
    UID:
    almahu_9948233583402882
    Format: 1 online resource (xviii, 348 pages) : , digital, PDF file(s).
    Edition: Second edition.
    ISBN: 9781107337145 (ebook)
    Series Statement: Encyclopedia of mathematics and its applications ; 163
    Content: The Banach-Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.
    Note: Title from publisher's bibliographic system (viewed on 06 Jun 2016).
    Additional Edition: Print version: ISBN 9781107042599
    Language: English
    URL: https://doi.org/10.1017/CBO9781107337145
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
  • 2
    Online Resource
    Online Resource
    The Banach-Tarski paradox (2016)
    New York : Cambridge University Press
    Details
    UID:
    gbv_875080804
    Format: 1 Online-Ressource (xviii, 348 Seiten)
    Edition: Second edition
    ISBN: 9781107337145 , 9781107042599 , 9781107617315
    Series Statement: Encyclopedia of mathematics and its applications 163
    Content: The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years.
    Note: Title from publisher's bibliographic system (viewed on 06 Jun 2016)
    Additional Edition: ISBN 9781107042599
    Additional Edition: ISBN 9781107617315
    Additional Edition: Erscheint auch als Druck-Ausgabe Tomkowicz, Grzegorz The Banach-Tarski paradox New York, NY : Cambridge University Press, 2016 ISBN 9781107042599
    Language: English
    Subjects: Mathematics
    RVK:
    SK 430
    Keywords: Banach-Tarskisches Paradoxon
    DOI: 10.1017/CBO9781107337145
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 3
    Book
    Book
    The Banach-Tarski paradox (2016)
    New York : Cambridge University Press
    Details
    UID:
    b3kat_BV044304700
    Edition: Second edition
    ISBN: 9781107042599 , 9781107617315
    Series Statement: Encyclopedia of mathematics and its applications 163
    Content: The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years
    Note: Title from publisher's bibliographic system (viewed on 06 Jun 2016)
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-107-61731-5
    Former: Vorangegangen ist Wagon, Stan The Banach-Tarski paradox
    Language: English
    Subjects: Mathematics
    RVK:
    SK 430
    Keywords: Banach-Tarskisches Paradoxon ; Maßtheorie ; Zerlegung
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    TU Berlin get availability status
  • 4
    Book
    Book
    The Banach-Tarski paradox / (2016)
    New York :Cambridge University Press,
    Details
    UID:
    almafu_BV044304700
    Edition: Second edition
    ISBN: 978-1-107-04259-9 , 978-1-107-61731-5
    Series Statement: Encyclopedia of mathematics and its applications 163
    Content: The Banach-Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book unifies contemporary research on the paradox. It has been updated with many new proofs and results, and discussions of the many problems that remain unsolved. Among the new results presented are several unusual paradoxes in the hyperbolic plane, one of which involves the shapes of Escher's famous 'Angel and Devils' woodcut. A new chapter is devoted to a complete proof of the remarkable result that the circle can be squared using set theory, a problem that had been open for over sixty years
    Note: Title from publisher's bibliographic system (viewed on 06 Jun 2016)
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-107-61731-5
    Former: Vorangegangen ist Wagon, Stan The Banach-Tarski paradox
    Language: English
    Subjects: Mathematics
    RVK:
    SK 430
    Keywords: Banach-Tarskisches Paradoxon ; Maßtheorie ; Zerlegung
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    FU Berlin get availability status
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